Question

11. Mask land first Nationed Bank of Rolla utilizes kanban teaching in its check processing facility. The following information is known about the process. Each kanban Containers can hold so Cheeks and spends 24 mmutes a day in processing and 2 hours a day in materials handling and waiting finally the facility Opexetes 24 houes per day and utilizes a policy variable for unforeseen contingencies of 0.25 a. If there are 20 llamban Containers in use. what is the Current daily demand of the check processing fercilyty? b. If the mudar or the coaste in the System were eliminated Completely how many Containers would them be needed. ?

Answer 1

Given data container capacity checks (C)=50 Processing time =24mins / day waiting time = 120mins Total processing and wasting = 120+24 F144 mins/day Facility operate 24 hours Total minutes in day = 24*60 =144 omins Total Processing and waiting time in a day = 144/1440 =0:10 Variable for unforeseen contingencies (V) 20125 Average waiting timecw)= waiting time/ facility operating = 120/1440 hours. -0.083) Average processing time(P) Processing time per day/Total- minutes a day 524/1440 0.01677 a) Required Kanban's is denoted by K'= 20 (given) current daily demand is denoted by a K=d(WHP) (1+v)/C 20- (0.083 +0.0167) (170.25)/50 20*50=410.0997) (1.25) 1000 = 0.1252

d=1000/0.125 d = 8000] b) If muda is zero loo) completely eliminated -> Here, variable for unforeseen will be zero due to Zero waste The container needed (Q) would be: Q = current daily demand* Caverage waiting time + Average- processing time) *(1+ variable for unforeseen (o) [C Q = d* (WTP) (1+V)/C Q =8000* (0.083+0.0167)* (4+0)/50 Q = 797,6/50 Q =15.95 @=16] i Therefore, the Containers seguired are 16